SOLUTION: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me. <pre> __ __

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me. <pre> __ __       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 165755: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me. 
       __   __  __   __ 
Given: PQ @ PS; QR @ SR
        Ð1 @ Ð2
 Prove: Ð3 @ Ð4  

drawing%28400%2C240%2C-3%2C9%2C-3%2C3%2C%0D%0Atriangle%28-2%2C0%2C7.833%2C0%2C0%2C2.3835%29%2C%0D%0Atriangle%28-2%2C0%2C7.833%2C0%2C0%2C-2.3835%29%2C%0D%0Alocate%28-1.6%2C.4%2C1%29%2C+locate%28-1.6%2C-.08%2C2%29%2C%0D%0Alocate%286.3%2C.4%2C3%29%2Clocate%286.3%2C-.06%2C4%29%2C%0D%0Alocate%28-2.3%2C.3%2CP%29%2Clocate%288%2C.3%2CR%29%2C%0D%0Alocate%28-.1%2C2.9%2CQ%29%2Clocate%28-.1%2C-2.4%2CS%29%0D%0A+%29

Answer by Edwin McCravy(6936) About Me  (Show Source):
You can put this solution on YOUR website!

       __   __  __   __ 
Given: PQ @ PS; QR @ SR
        Ð1 @ Ð2
 Prove: Ð3 @ Ð4  

drawing%28400%2C240%2C-3%2C9%2C-3%2C3%2C%0D%0Atriangle%28-2%2C0%2C7.833%2C0%2C0%2C2.3835%29%2C%0D%0Atriangle%28-2%2C0%2C7.833%2C0%2C0%2C-2.3835%29%2C%0D%0Alocate%28-1.6%2C.4%2C1%29%2C+locate%28-1.6%2C-.08%2C2%29%2C%0D%0Alocate%286.3%2C.4%2C3%29%2Clocate%286.3%2C-.06%2C4%29%2C%0D%0Alocate%28-2.3%2C.3%2CP%29%2Clocate%288%2C.3%2CR%29%2C%0D%0Alocate%28-.1%2C2.9%2CQ%29%2Clocate%28-.1%2C-2.4%2CS%29%0D%0A+%29

__   __
PQ @ PS          Given

Ð1 @ Ð2         Given
__   __
PR @ PR         A line segment is congruent
                to itself.  (Identity)

DPQR @ DPSR     Side-Angle-Side

Ð3 @ Ð4         Corresponding parts of congruent triangles.


Notice that you did not need to be given that 
__   __
QR @ SR, for it was not used.


Edwin